基于多尺度法的船舶非线性横摇运动特性研究  

Research on Ship's Nonlinear Rolling Motion Based on Multi-Scale Method

作　　者：胡安康[1] 刘亚冲 卢雨[1] 于鹏垚 

机构地区：[1]哈尔滨工程大学船舶工程学院,哈尔滨150001

出　　处：《中国造船》2016年第2期13-21,共9页Shipbuilding of China

基　　金：中央高校基本科研业务费(HEUCF150104)

摘　　要：以某集装箱船为研究对象,考虑阻尼力矩和复原力矩的非线性,建立船舶横摇的非线性方程。采用多尺度法分析了横摇阻尼和恢复力矩对横摇稳态运动的影响,并得到船舶在波浪中的一阶近似解析解,最后通过数值方法对结果进行了验证。研究表明:最小二乘拟合得到的高次复原力臂曲线可以较好地表达回复力矩特性;阻尼在共振频率附近对横摇幅值影响最大,且会使幅频曲线出现割断现象,显示其横摇系统稳定性增强;复原力矩则使横摇系统的刚度趋于软化;多尺度法得到的一阶近似解析解可较准确地描述横摇运动,这对于建立船体参数与横摇运动关系及稳性评估有重要意义。Nonlinear rolling equation of a container ship is established. Multi-scale method is adopted to analyze the effect of roll damping and restoring moments on stable rolling motion, and a first-order approximate solution in regular waves is obtained. Numerical method is used to verify the validity of this analytical approximate solution. It is shown that in the vicinity of resonance frequency the damping term has remarkable effect on the amplitude of rolling motion, and a fracture on the amplitude-frequency curve may occur, which means the enhancement of system stability; restoring moment makes the stiffness of rolling system soft. The first-order approximate solution is of significance to assess the stability of rolling motion.

关 键 词：非线性横摇 多尺度法 最小二乘拟合 幅频响应 

分 类 号：U661[交通运输工程—船舶及航道工程]